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Finding the Fourth Proportional to 9,652.56, 13,318.32 and 5,402.40

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Solution

The fourth proportional to 9,652.56, 13,318.32 and 5,402.40 is: 7,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.56 : 13,318.32 = 5,402.40 : x
  2. Step 2: Convert to fraction form
    9,652.56/13,318.32 = 5,402.40/x
  3. Step 3: Cross multiply
    9,652.56x = 13,318.32 × 5,402.40
  4. Step 4: Simplify right side
    9,652.56x = 71,950,891.97
  5. Step 5: Solve for x
    x = 71,950,891.97/9,652.56
  6. Step 6: Final answer
    x = 7,454.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.